What a dilation does to length, perimeter and area

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Bo's quilt is a rectangle with opposite corners (-6, -3) and (6, 3). It is dilated from the origin by 2/3. What is the perimeter of the image?

   24
2. 2.

   the image is not drawn. Kira's rug is a rectangle with opposite corners (-4, 2) and (2, 6). It is dilated from the origin by 3/2. How many square units does the image cover?

   54
3. 3.

   Luz's table top is a rectangle with opposite corners (-9, -6) and (3, 3). It is dilated from the origin by 2/3. How many square units does the image cover?

   48
4. 4.

   the image is not drawn. Milo's quilt is a rectangle with opposite corners (-8, -4) and (4, 4). It is dilated from the origin by 1/4. How many square units does the image cover?

   6
5. 5.

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. Noah's book cover is a rectangle with opposite corners (3, -6) and (6, 3). It is dilated from the origin by 4/3. How many square units does the image cover?

   48
6. 6.

   Ren dilates a window design from the origin by 3/4. How many times as much area does the image cover as the original?

   9/16
7. 7.

   Tala dilates a quilt design from the origin by 4/3. How many times as much area does the image cover as the original?

   16/9
8. 8.

   Zee dilates a table design from the origin by 1/3. How many times as much area does the image cover as the original?

   1/9
9. 9.

   A right triangle on Ari's tent drawing has corners C(-4, 2), D(2, 2) and F(-4, 6). It is dilated from the origin by 3/2. How many square units does the image cover?

   27
10. 10.

    A right triangle on Esme's sled drawing has corners C(-8, -4), D(4, -4) and F(-8, 4). It is dilated from the origin by 3/4. How many square units does the image cover?

    27